Two-dimensional square ice in graphene nanocapillaries
at room
temperature is a fascinating phenomenon and has been confirmed experimentally.
Instead of the temperature for bulk ice, the high van der Waals pressure
becomes an all-important factor to induce the formation of square
ice and needs to be studied further. By all-atom molecular dynamics
simulations of water confined between two parallel graphene sheets,
which are changed in size (the length and the width of the graphene
sheets) over a wide range, we find that the critical crystallization
pressure for the formation of square ice in the nanocapillary strongly
depends on the size of the graphene sheet. The critical crystallization
pressure slowly decreases as the graphene size increases, converging
to an approximately macroscopic crystallization pressure. The unfreezable
threshold for graphene size is obtained by estimating the actual pressure,
and it is difficult to form the square ice spontaneously in practice
when the graphene sheet is smaller than the threshold. Moreover, the
critical crystallization pressure fluctuates when the graphene size
is minuscule, and the range of oscillation narrows as the sheet size
increases, converging to the macroscopic behavior of a single critical
icing pressure for large sheets. The graphene size also affects the
stability and crystallization time of the square ice.